Hi BB,
There are only 2 places the DW can get water from. One is the drain line and the other is the supply line. We need to eliminate one to diagnose the problem, OK?
The first picture is a drain hose gone wrong...
Inspect your drain hose. If it looks like the pic above, you gotta fix that. Even IF that's not the problem right now... it will be in the future (and MAY be contributing to the problem now). You'll need to loosen the clamp, remove the drain hose from its' fitting, pull as much slack as you can get from the DW and then make a "loop" in it before reconnecting it. Like this...
The DW drain loop should be as high as the highest part of the sink...
I know that you have done a lot of experimenting in an attempt to figure this out. Just make sure that the drain hose is installed properly to eliminate it as the cause of the flood issue.
After you've made sure about the drain hose, leave the DW alone overnight. If you see water in the tub the next morning, you definitely have a failed valve on your DW. Since it's new (less than a year?) the valve is under warranty and will be replaced at no charge.
Hope this helps. If it's out of warranty let me know and I'll do the part look up for you and provide detailed replacement instructions, OK?
SG